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245890395972 = 2232131927652991
BaseRepresentation
bin1110010100000000110…
…1011010111101000100
3212111200112011100012200
43211000031122331010
513012040420132342
6304543244314500
723523251610624
oct3450015327504
9774615140180
10245890395972
1195310799991
123b7a4242a30
131a258843430
14bc88aca884
1565e214394c
hex394035af44

245890395972 has 72 divisors (see below), whose sum is σ = 704598236160. Its totient is φ = 71676550080.

The previous prime is 245890395869. The next prime is 245890395979. The reversal of 245890395972 is 279593098542.

245890395972 is a `hidden beast` number, since 2 + 4 + 5 + 8 + 9 + 0 + 39 + 597 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (245890395979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13817604 + ... + 13835387.

Almost surely, 2245890395972 is an apocalyptic number.

It is an amenable number.

245890395972 is an abundant number, since it is smaller than the sum of its proper divisors (458707840188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245890395972 is a wasteful number, since it uses less digits than its factorization.

245890395972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27653033 (or 27653028 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 245890395972 in words is "two hundred forty-five billion, eight hundred ninety million, three hundred ninety-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 27652991 55305982 82958973 110611964 165917946 248876919 331835892 359488883 497753838 525406829 718977766 995507676 1050813658 1078466649 1437955532 1576220487 2101627316 2156933298 3152440974 3235399947 4313866596 4728661461 6304881948 6470799894 6830288777 9457322922 12941599788 13660577554 18914645844 20490866331 27321155108 40981732662 61472598993 81963465324 122945197986 245890395972